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Finding the Fourth Proportional to 2,027.01, 3,038.68 and 728.17

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Solution

The fourth proportional to 2,027.01, 3,038.68 and 728.17 is: 1,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.01 : 3,038.68 = 728.17 : x
  2. Step 2: Convert to fraction form
    2,027.01/3,038.68 = 728.17/x
  3. Step 3: Cross multiply
    2,027.01x = 3,038.68 × 728.17
  4. Step 4: Simplify right side
    2,027.01x = 2,212,675.62
  5. Step 5: Solve for x
    x = 2,212,675.62/2,027.01
  6. Step 6: Final answer
    x = 1,091.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.